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Nonlinear oscillators with constant time delay by

✍ Scribed by W.J. Cunningham

Publisher: Elsevier Science
Year: 1956
Tongue: English
Weight: 642 KB
Volume: 261
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(56)90959-0

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✦ Synopsis

A particular family of electronic oscillators uses an amplifier with a feedback path consisting of a network that provides constant time delay for any signal. Oscillation may occur when the total phase shift around the feedback loop is a multiple of 27r radians and the net amplification is unity. For a system composed of ideal elements, oscillation may take place at an infinity of frequencies. Several systems of this type are discussed here. The amplifier is allowed to be ideal and linear, to saturate and be nonlinear, and to have simple low-pass properties. Somewhat different kinds of operation occur in these various cases. Mathematical analysis requires the use of nonlinear differential-difference equations, and a modification of the method of variation of parameters is used in their solution.

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